What is the Least Common Multiple of 37286 and 37298?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 37286 and 37298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37286 and 37298, than apply into the LCM equation.

GCF(37286,37298) = 2
LCM(37286,37298) = ( 37286 × 37298) / 2
LCM(37286,37298) = 1390693228 / 2
LCM(37286,37298) = 695346614

Least Common Multiple (LCM) of 37286 and 37298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37286 and 37298. First we will calculate the prime factors of 37286 and 37298.

Prime Factorization of 37286

Prime Factorization of 37298

Now multiplying the highest exponent prime factors to calculate the LCM of 37286 and 37298.

LCM(37286,37298) = 2¹ × 103¹ × 181¹ × 17¹ × 1097¹
LCM(37286,37298) = 695346614